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Finding the Fourth Proportional to 206,097.87, 284,432.56 and 115,452.64

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Solution

The fourth proportional to 206,097.87, 284,432.56 and 115,452.64 is: 159,334.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,097.87 : 284,432.56 = 115,452.64 : x
  2. Step 2: Convert to fraction form
    206,097.87/284,432.56 = 115,452.64/x
  3. Step 3: Cross multiply
    206,097.87x = 284,432.56 × 115,452.64
  4. Step 4: Simplify right side
    206,097.87x = 32,838,490,670.29
  5. Step 5: Solve for x
    x = 32,838,490,670.29/206,097.87
  6. Step 6: Final answer
    x = 159,334.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.